{"id":"https://openalex.org/W4313030791","doi":"https://doi.org/10.1109/tcyb.2022.3225106","title":"Multi-UUV Maneuvering Counter-Game for Dynamic Target Scenario Based on Fractional-Order Recurrent Neural Network","display_name":"Multi-UUV Maneuvering Counter-Game for Dynamic Target Scenario Based on Fractional-Order Recurrent Neural Network","publication_year":2022,"publication_date":"2022-12-13","ids":{"openalex":"https://openalex.org/W4313030791","doi":"https://doi.org/10.1109/tcyb.2022.3225106","pmid":"https://pubmed.ncbi.nlm.nih.gov/37015353"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2022.3225106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3225106","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100396552","display_name":"Lu Liu","orcid":"https://orcid.org/0000-0003-3179-1004"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Liu","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0003-3179-1004","affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100450365","display_name":"Shuo Zhang","orcid":"https://orcid.org/0000-0002-2824-618X"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuo Zhang","raw_affiliation_strings":["School of Mathematics and Statistics, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-2824-618X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081238296","display_name":"Lichuan Zhang","orcid":"https://orcid.org/0000-0001-8818-5721"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lichuan Zhang","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0001-8818-5721","affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059683046","display_name":"Guang Pan","orcid":"https://orcid.org/0000-0003-1932-8252"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang Pan","raw_affiliation_strings":["School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0003-1932-8252","affiliations":[{"raw_affiliation_string":"School of Marine Science and Technology, Northwestern Polytechnical University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073958329","display_name":"Junzhi Yu","orcid":"https://orcid.org/0000-0002-6347-572X"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junzhi Yu","raw_affiliation_strings":["Department of Advanced Manufacturing and Robotics, College of Engineering, Peking University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6347-572X","affiliations":[{"raw_affiliation_string":"Department of Advanced Manufacturing and Robotics, College of Engineering, Peking University, Beijing, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":18.3423,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.99801703,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"53","issue":"6","first_page":"4015","last_page":"4028"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11192","display_name":"Underwater Vehicles and Communication Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11192","display_name":"Underwater Vehicles and Communication Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6633367538452148},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.6256694793701172},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5693619251251221},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5583176016807556},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5429636240005493},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4921225905418396},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4605694115161896},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4516991972923279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3077441453933716},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2277926206588745},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.09828364849090576}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6633367538452148},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.6256694793701172},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5693619251251221},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5583176016807556},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5429636240005493},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4921225905418396},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4605694115161896},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4516991972923279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3077441453933716},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2277926206588745},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.09828364849090576},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2022.3225106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2022.3225106","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:37015353","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37015353","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/14","score":0.699999988079071,"display_name":"Life below water"}],"awards":[{"id":"https://openalex.org/G1325347976","display_name":null,"funder_award_id":"51979229","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4752342075","display_name":null,"funder_award_id":"11902252","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5360458775","display_name":null,"funder_award_id":"52001259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1597286183","https://openalex.org/W1980564456","https://openalex.org/W2092811706","https://openalex.org/W2100866919","https://openalex.org/W2166113101","https://openalex.org/W2482509550","https://openalex.org/W2593814933","https://openalex.org/W2601163767","https://openalex.org/W2759084312","https://openalex.org/W2766110843","https://openalex.org/W2790930275","https://openalex.org/W2793499607","https://openalex.org/W2806046008","https://openalex.org/W2899745345","https://openalex.org/W2901478555","https://openalex.org/W2908854797","https://openalex.org/W2909946416","https://openalex.org/W2910288430","https://openalex.org/W2948820101","https://openalex.org/W2968331804","https://openalex.org/W2990694306","https://openalex.org/W2997053319","https://openalex.org/W3006416751","https://openalex.org/W3009032823","https://openalex.org/W3010163975","https://openalex.org/W3045873373","https://openalex.org/W3112772891","https://openalex.org/W3154632874","https://openalex.org/W3173210686","https://openalex.org/W3185355205","https://openalex.org/W3199808967","https://openalex.org/W4224529732","https://openalex.org/W4282927171","https://openalex.org/W4292078529","https://openalex.org/W4292262743","https://openalex.org/W6673364736"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W4254115068"],"abstract_inverted_index":{"In":[0,105],"this":[1],"article,":[2],"a":[3,14,17,38,94],"multi-underwater":[4],"unmanned":[5],"vehicle":[6],"(UUV)":[7],"maneuvering":[8,33,67,92,114],"decision-making":[9,68],"algorithm":[10,158],"is":[11,23,35,97,159],"proposed":[12,140,157],"for":[13],"counter-game":[15,91],"with":[16,25,47],"dynamic":[18,53],"target":[19],"scenario.":[20],"The":[21,142],"game":[22],"modeled":[24],"interval-valued":[26,61,83],"intuitionistic":[27,62,84],"fuzzy":[28,63,85],"rules,":[29],"and":[30,52,57,70,109,129,152],"an":[31],"optimal":[32,113],"strategy":[34],"realized":[36],"using":[37],"fractional-order":[39,95],"recurrent":[40],"neural":[41],"network":[42],"(RNN).":[43],"First,":[44],"underwater":[45,50],"environments":[46],"weak":[48],"connectivity,":[49],"noise,":[51],"uncertainties":[54],"are":[55,78,125,132],"analyzed":[56],"incorporated":[58],"into":[59],"the":[60,66,71,75,82,90,101,107,112,119,122,136,139,145,149,156],"set.":[64],"Then,":[65],"model":[69],"expected":[72],"return":[73],"of":[74,111,121,138,144,155],"multi-UUV":[76],"countermeasure":[77],"designed":[79],"based":[80,99],"on":[81,100,148],"rules.":[86],"Subsequently,":[87],"to":[88,134],"optimize":[89],"strategy,":[93],"RNN":[96],"formulated":[98],"Karush-Kuhn-Tucker":[102],"optimality":[103],"conditions.":[104],"addition,":[106],"existence":[108],"uniqueness":[110],"solutions":[115],"as":[116,118],"well":[117],"stability":[120],"equilibrium":[123],"point":[124],"discussed.":[126],"Finally,":[127],"simulation":[128],"experimental":[130],"results":[131],"compared":[133],"determine":[135],"effectiveness":[137],"algorithm.":[141],"influence":[143],"fractional":[146],"order":[147],"convergence":[150],"rate":[151],"optimization":[153],"error":[154],"also":[160],"minutely":[161],"examined.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":53},{"year":2023,"cited_by_count":47}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
